Modeling and optimal design of linear network coding for secure unicast with multiple streams

Jin Wang, Jianping Wang, Kejie Lu, Bin Xiao, Naijie Gu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

15 Citations (Scopus)

Abstract

In this paper, we will address the modeling and optimal design of linear network coding (LNC) for secure unicast with multiple streams between the same source and destination pair. The objectives include 1) satisfying the weakly secure requirements, 2) maximizing the transmission data rate, and 3) minimizing the size of the finite field. To fulfill the first two objectives, we formulate a secure unicast routing problem and prove that it is equivalent to a constrained link-disjoint path problem. Based on this fact, we develop an efficient algorithm that can find the optimal unicast topology in a polynomial amount of time. With the given topology, we investigate the design of both weakly secure deterministic LNC and weakly secure random LNC. In the designs of deterministic LNC and random LNC, we prove that the required size of the finite field decreases with the decrease of the number of intermediate nodes in the topology. Therefore, to meet the third objective, we formulate a problem to minimize the number of intermediate nodes. We prove that this problem is NP-Complete and develop an approximation algorithm to solve it. Finally, extensive simulation experiments have been conducted, and the results demonstrate the effectiveness of the proposed algorithms.
Original languageEnglish
Article number6297974
Pages (from-to)2025-2035
Number of pages11
JournalIEEE Transactions on Parallel and Distributed Systems
Volume24
Issue number10
DOIs
Publication statusPublished - 9 Sep 2013

Keywords

  • deterministic linear network coding
  • finite field
  • passive attack
  • random linear network coding
  • Secure linear network coding
  • unicast

ASJC Scopus subject areas

  • Signal Processing
  • Hardware and Architecture
  • Computational Theory and Mathematics

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